Hydrostatic Force on Horizontal Plane Submerged Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area
F = ρ*[g]*zs*A
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Hydrostatic Force - (Measured in Newton) - Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.
Density - (Measured in Kilogram per Cubic Meter) - Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Vertical Depth from Free Surface of Centre of Area - (Measured in Meter) - Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water.
Area - (Measured in Square Meter) - Area is the contact area between the plate and fluid.
STEP 1: Convert Input(s) to Base Unit
Density: 997.3 Kilogram per Cubic Meter --> 997.3 Kilogram per Cubic Meter No Conversion Required
Vertical Depth from Free Surface of Centre of Area: 1.75 Meter --> 1.75 Meter No Conversion Required
Area: 49 Square Meter --> 49 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = ρ*[g]*zs*A --> 997.3*[g]*1.75*49
Evaluating ... ...
F = 838649.75285875
STEP 3: Convert Result to Output's Unit
838649.75285875 Newton --> No Conversion Required
FINAL ANSWER
838649.75285875 838649.8 Newton <-- Hydrostatic Force
(Calculation completed in 00.004 seconds)

Credits

Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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9 Basic Formulas Calculators

Hydrostatic Force on Curved Submerged Surface
Go Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
Height of Capillary Rise or Fall
Go Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)
Viscosity using Viscometer
Go Dynamic Viscosity = ((Torque*Thickness of Fluid Layer)/(4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder))
Head Loss due to Friction
Go Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g])
Shear Force acting on Newtonian Fluid Layer
Go Shear Force = (Dynamic Viscosity*Contact Area*Velocity of Fluid)/(Distance Between Two Plates)
Hydrostatic Force on Horizontal Plane Submerged Surface
Go Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area
Discharge Rate of Liquid from Orifice in Tank
Go Flowrate = Area of Orifice*(sqrt(2*[g]*Height of Tank))
Momentum Diffusivity
Go Momentum Diffusivity = Dynamic Viscosity/Density
Fanning Friction Factor using Darcy Friction Factor
Go Fanning Friction Factor = Darcy Friction Factor/4

Hydrostatic Force on Horizontal Plane Submerged Surface Formula

Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area
F = ρ*[g]*zs*A

What is hydrostatic force?

When a surface is submerged in a fluid, forces develop on the surface due to the fluid. The determination of these forces is important in the design of storage tanks, ships, dams, and other hydraulic structures. For fluids at rest we know that the force must be perpendicular to the surface since there are no shearing stresses present. Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.

How to Calculate Hydrostatic Force on Horizontal Plane Submerged Surface?

Hydrostatic Force on Horizontal Plane Submerged Surface calculator uses Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area to calculate the Hydrostatic Force, Hydrostatic Force on Horizontal Plane Submerged Surface is the force resulting from the pressure loading of liquid on horizontal plane submerged surface. Hydrostatic Force is denoted by F symbol.

How to calculate Hydrostatic Force on Horizontal Plane Submerged Surface using this online calculator? To use this online calculator for Hydrostatic Force on Horizontal Plane Submerged Surface, enter Density (ρ), Vertical Depth from Free Surface of Centre of Area (zs) & Area (A) and hit the calculate button. Here is how the Hydrostatic Force on Horizontal Plane Submerged Surface calculation can be explained with given input values -> 838649.8 = 997.3*[g]*1.75*49.

FAQ

What is Hydrostatic Force on Horizontal Plane Submerged Surface?
Hydrostatic Force on Horizontal Plane Submerged Surface is the force resulting from the pressure loading of liquid on horizontal plane submerged surface and is represented as F = ρ*[g]*zs*A or Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area. Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water & Area is the contact area between the plate and fluid.
How to calculate Hydrostatic Force on Horizontal Plane Submerged Surface?
Hydrostatic Force on Horizontal Plane Submerged Surface is the force resulting from the pressure loading of liquid on horizontal plane submerged surface is calculated using Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area. To calculate Hydrostatic Force on Horizontal Plane Submerged Surface, you need Density (ρ), Vertical Depth from Free Surface of Centre of Area (zs) & Area (A). With our tool, you need to enter the respective value for Density, Vertical Depth from Free Surface of Centre of Area & Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Hydrostatic Force?
In this formula, Hydrostatic Force uses Density, Vertical Depth from Free Surface of Centre of Area & Area. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
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